Karnataka is a beautiful state in South India, known for its rich history, culture, and natural beauty. Here's an ideal itinerary for 3 days in Karnataka:

Day 1:

• Start your day by visiting the iconic Mysore Palace, which is one of the most popular tourist attractions in Karnataka. The palace is a stunning example of Indo-Saracenic architecture and is located in the heart of Mysore city.
• After exploring the palace, head to the nearby Chamundi Hills, which offer breathtaking views of the city. You can also visit the Chamundeshwari Temple, which is located at the top of the hill.
• In the evening, visit the Brindavan Gardens, which are located near the Krishnarajasagara Dam. The gardens are famous for their musical fountains and colorful lights.

Day 2:

• Start your day by visiting the historic city of Hampi, which is a UNESCO World Heritage Site. Hampi was once the capital of the Vijayanagara Empire and is home to several ancient temples, palaces, and monuments.
• Spend the day exploring the various sites in Hampi, including the Virupaksha Temple, Vittala Temple, and the Lotus Mahal.
• In the evening, head back to your hotel in Hampi or nearby Hospet.

Day 3:

• Start your day by visiting the Bandipur National Park, which is located in the southern part of Karnataka. The park is home to several species of wildlife, including tigers, elephants, and leopards.
• Take a safari tour of the park and enjoy the natural beauty of the area.
• In the evening, head back to Bangalore, which is the capital city of Karnataka. You can explore the city's vibrant nightlife, shopping areas, and restaurants.

This itinerary will give you a taste of the rich history, culture, and natural beauty of Karnataka. Enjoy your trip!